A group of 12 people want to go to a concert. They can travel in a small car that takes one driver and one passenger and two car
1 answer:
Answer: There are 60 ways that they can travel to the concert.
Step-by-step explanation:
Since we have given that
Number of people want to go to a concert = 12
Number of cars = 3
Number of drivers in the group = 5
So, using the "Fundamental theorem of counting":
We get that
Hence, there are 60 ways that they can travel to the concert.
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Answer:
A
Step-by-step explanation:
So we have the equation:
To solve for x, subtract 4 from both sides:
The left side cancels. Subtract on the right:
So, the value of x is 3.
And our answer is A.
And we're done!
(a)
or, via symmetry
____________
(b)
By the chain rule:
For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that
Differentiating with respect to theta
2/3 is the slope
____________
(c)
"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3
A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time
</span><span />
or, via symmetry
____________
(b)
By the chain rule:
For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that
Differentiating with respect to theta
2/3 is the slope
____________
(c)
"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3
A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time
</span><span />